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Finding the Fourth Proportional to 527.22, 727.61 and 340.74

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Solution

The fourth proportional to 527.22, 727.61 and 340.74 is: 470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.22 : 727.61 = 340.74 : x
  2. Step 2: Convert to fraction form
    527.22/727.61 = 340.74/x
  3. Step 3: Cross multiply
    527.22x = 727.61 × 340.74
  4. Step 4: Simplify right side
    527.22x = 247,924.13
  5. Step 5: Solve for x
    x = 247,924.13/527.22
  6. Step 6: Final answer
    x = 470.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.